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Finding the Fourth Proportional to 1,455.30, 2,005.83 and 1,174.50

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Solution

The fourth proportional to 1,455.30, 2,005.83 and 1,174.50 is: 1,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.30 : 2,005.83 = 1,174.50 : x
  2. Step 2: Convert to fraction form
    1,455.30/2,005.83 = 1,174.50/x
  3. Step 3: Cross multiply
    1,455.30x = 2,005.83 × 1,174.50
  4. Step 4: Simplify right side
    1,455.30x = 2,355,847.34
  5. Step 5: Solve for x
    x = 2,355,847.34/1,455.30
  6. Step 6: Final answer
    x = 1,618.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.